Details

sample70.0ms

Algorithm

intervals

Results

32.0ms	111×	body	1280	valid
13.0ms	78×	body	640	valid
9.0ms	289×	body	80	valid
4.0ms	35×	body	320	valid
1.0ms	23×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (exp x) (exp (- x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

6.0ms

(- (exp x) (exp (- x)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- (exp x) (exp (- x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune60.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize10.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0b

Counts

3 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
6.7b	(- (exp x) (exp (- x)))
6.7b	(- (exp x) (exp (- x)))
6.7b	(- (exp x) (exp (- x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

5.0ms	(cbrt (- (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))
6.0ms	(- (exp x) (exp (- x)))
6.0ms	(- (exp x) (exp (- x)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))
40.0ms	(- (exp x) (exp (- x)))
37.0ms	(- (exp x) (exp (- x)))

simplify193.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (183.0ms)

Iter	Nodes	Cost
0	229	1260
1	657	853
2	3923	840
3	5001	799

prune252.0ms

Filtered

113 candidates to 74 candidates (65.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

6.5b	(log (exp (- (exp x) (exp (- x)))))
6.7b	(- (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
14×	`log-prod`
11×	`exp-sum`
6×	`log-pow`
5×	`exp-prod`
4×	`add-log-exp`
3×	`pow1` `fma-neg`
2×	`add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 59

Calls

2 calls:

7.0ms	(log (exp (- (exp x) (exp (- x)))))
6.0ms	(- (exp x) (exp (- x)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(log (exp (- (exp x) (exp (- x)))))
36.0ms	(- (exp x) (exp (- x)))

simplify125.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	221	720
1	533	464
2	2567	348
3	5001	328

prune87.0ms

Filtered

65 candidates to 35 candidates (53.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Merged error: 0b

Counts

68 → 3

regimes47.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

964.0ms	3428×	body	1280	valid
409.0ms	2451×	body	640	valid
200.0ms	8105×	body	80	valid
124.0ms	1232×	body	320	valid
38.0ms	601×	body	160	valid